Here is a list of the number 2 raised to the power of every number from 0 to 100. Why did I make this? Because I have WAY too much time on my hands! You're probably wondering what good this is. Well aside from the obvious (It allows quick look-up to 2's powers) It can also be used to find out how many colors will be displayed on a screen. Example: If you're computer monitor is set to display 16-bit color, look at 2 raised to the 16th power, and you'll see that the value is 65,536. That means that at your current display, you can have 65,536 colors on the screen at once. Now doesn't that make you feel all warm and mushy inside?

 Power Value 0 1 1 2 2 4 3 8 4 16 5 32 6 64 7 128 8 256 9 512 10 1,024 11 2,048 12 4,096 13 8,192 14 16,384 15 32,768 16 65,536 17 131,072 18 262,144 19 524,288 20 1,048,576 21 2,097,152 22 4,194,304 23 8,388,608 24 16,777,216 25 33,554,432 26 67,108,864 27 134,217,728 28 268,435,456 29 536,870,912 30 1,073,741,824 31 2,147,483,648 32 4,294,967,296 33 8,589,934,592 34 17,179,869,184 35 34,359,738,368 36 68,719,476,736 37 137,438,953,472 38 274,877,906,944 39 549,755,813,888 40 1,099,511,627,776 41 2,199,023,255,552 42 4,398,046,511,104 43 8,796,093,022,208 44 17,592,186,044,416 45 35,184,372,088,832 46 70,368,744,177,664 47 140,737,488,355,328 48 281,474,976,710,656 49 562,949,953,421,312 50 1,125,899,906,842,624 51 2,251,799,813,685,248 52 4,503,599,627,370,496 53 9,007,199,254,740,992 54 18,014,398,509,481,984 55 36,028,797,018,963,968 56 72,057,594,037,927,936 57 144,115,188,075,855,872 58 288,230,376,151,711,744 59 576,460,752,303,423,488 60 1,152,921,504,606,846,976 61 2,305,843,009,213,693,952 62 4,611,686,018,427,387,904 63 9,223,372,036,854,775,808 64 18,446,744,073,709,551,616 65 36,893,488,147,419,103,232 66 73,786,976,294,838,206,464 67 147,573,952,589,676,412,928 68 295,147,905,179,352,825,856 69 590,295,810,358,705,651,712 70 1,180,591,620,717,411,303,424 71 2,361,183,241,434,822,606,848 72 4,722,366,482,869,645,213,696 73 9,444,732,965,739,290,427,392 74 18,889,465,931,478,580,854,784 75 37,778,931,862,957,161,709,568 76 75,557,863,725,914,323,419,136 77 151,115,727,451,828,646,838,272 78 302,231,454,903,657,293,676,544 79 604,462,909,807,314,587,353,088 80 1,208,925,819,614,629,174,706,176 81 2,417,851,639,229,258,349,412,352 82 4,835,703,278,458,516,698,824,704 83 9,671,406,556,917,033,397,649,408 84 19,342,813,113,834,066,795,298,816 85 38,685,626,227,668,133,590,597,632 86 77,371,252,455,336,267,181,195,264 87 154,742,504,910,672,534,362,390,528 88 309,485,009,821,345,068,724,781,056 89 618,970,019,642,690,137,449,562,112 90 1,237,940,039,285,380,274,899,124,224 91 2,475,880,078,570,760,549,798,248,448 92 4,951,760,157,141,521,099,596,496,896 93 9,903,520,314,283,042,199,192,993,792 94 19,807,040,628,566,084,398,385,987,584 95 39,614,081,257,132,168,796,771,975,168 96 79,228,162,514,264,337,593,543,950,336 97 158,456,325,028,528,675,187,087,900,672 98 316,912,650,057,057,350,374,175,801,344 99 633,825,300,114,114,700,748,351,602,688 100 1,267,650,600,228,229,401,496,703,205,376